On the effective electron mass in quantum well wires of ternary chalcopyrite semiconductors

Ghoshal, A.; Mitra, B.; Ghatak, K. P.

doi:10.1007/bf02453036

Cited by 15 publications

(4 citation statements)

References 21 publications

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“…[19]. In the presence of a parallel magnetic field, the modified electron energy spectrum in the quantum well of tetragonal semiconductors can be written as where ~y, +-py ++_ eBd~, 2d~ is the width of the quantum well, 2, 3, ...) is the size quantum number along the x-direction, e is the electron charge, B is the magnetic field along the z-direction which is parallel to the 2D surface (pyp~) of the film, h = h/2r: and h is Planck's constant.…”

Section: -Mathematical Backgroundmentioning

confidence: 97%

“…Incorporating the anisotropic crystal potential into the Hamiltonian together with the anisotropic spin-orbit splitting parameters and anisotropic effective electron masses, we have used the dispersion relation of the conduction electrons in bulk specimens of the same semiconductor within the framework of k .p theory [19]. In the absence of crystal field splitting together with the assumptions of isotropic effective electron mass and isotropic spin-orbit splitting parameter, eq.…”

Section: U(~) = (N~ R~/2d~) ~ + K~ + V(d (N~ R:/2d~)mentioning

confidence: 99%

“…The generalized dispersion relation of the conduction electrons in bulk specimens of tetragonal semiconductors can be written [19] as…”

Section: -Mathematical Backgroundmentioning

confidence: 99%

“…In what follows, we shall formulate the subband energies in quantum wells of tetragonal semiconductors in the presence of a parallel magnetic field by using the generalized electron energy spectrum as derived elsewhere [19]. We shall then formulate the subband energies in quantum wires from the above expression.…”

Section: -Introductionmentioning

confidence: 99%

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A simple analysis of the subband energies in quantum-confined non-parabolic semiconductors in the presence of a parallel magnetic field

Ghatak

Biswas

1993

Il Nuovo Cimento D

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Summary. --We study the subband energies in quantum wells and quantum wires in the presence of a parallel magnetic field in non-parabolic semiconductors, on the basis of a generalized dispersion relation considering all types of anisotropies of the energy-band parameters within the framework of k .p formalism, by formulating the respective electron energy spectra. It is found, by taking n-Cd3As2 as an example, that the subband energies are greater for quantum wires and smaller for quantum wells, respectively. The magnetic field diminishes the above values and the corresponding well-known results for quantum-confined parabolic semiconductors have also been obtained from our generalized expressions under certain limiting conditions. PACS 73.50 -Electronic transport phenomena, in thin films. PACS 71.10 -General theories and computational techniques (including manybody perturbation theory, density-functional theory, atomic sphere approximation methods, Fourier decomposition methods, etc.).

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Section: -Mathematical Backgroundmentioning

confidence: 97%

Section: U(~) = (N~ R~/2d~) ~ + K~ + V(d (N~ R:/2d~)mentioning

confidence: 99%

“…The generalized dispersion relation of the conduction electrons in bulk specimens of tetragonal semiconductors can be written [19] as…”

Section: -Mathematical Backgroundmentioning

confidence: 99%

Section: -Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A simple analysis of the subband energies in quantum-confined non-parabolic semiconductors in the presence of a parallel magnetic field

Ghatak

Biswas

1993

Il Nuovo Cimento D

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Influence of a Quantizing Magnetic Field on the Effective Electron Mass in HgTe/CdTe Superlattices with Graded Structures

Ghatak

Mondal

1993

Physica Status Solidi (b)

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An attempt is made to study the influence of magnetic quantization on the effective electron mass at the Fenni level in HgTe/CdTe superlattices with graded structures by formulating a new dispersion relation and to compare the same with that of the constituent materials. It is found that the effective mass increases with increasing electron concentration and oscillates with reciprocal quantizing magnetic field in all the cases due to the SdH effect. The effective mass also depends on the magnetic quantum numbcr in addition to the Fermi energy which is the characteristic feature of such superlattices and the presence of the finite interface width enhances the effective mass. The numerical values of the same mass in superlattices are greater than those of the constituent materials. In addition, the corresponding well-known results of relatively wide band gap materials are also obtained from our generalized formulations under certain limiting conditions. Der EinfluS der magnetischen Quantisierung auf die effektive Elektronenmasse am Fenniniveau wird fur HgTe/CdTe-obergitter mit abgestuften Strukturen durch Formulierung neuer Dispersionsbeziehungen und Vergleich mit den konstituierendcn Materialien untersucht. Die effektive Masse wachst mit zunehmender Elektronenkonzentration und oszilliert mit dem reziproken quantisierenden Magnetfeld aufgrund des SdH-Effekts. Die cffektive Masse hangt auDer von dcr Fermienergie, auch von der magnetischen Quantenzahl, ab, was charakteristisch fur solche ubergitter ist. Die endliche Breite der Zwischenschicht vergrol3ert die effektive Masse, die in nbergittern groSer ist als in den Ausgangsmaterialien. Die fur relativ breitluckige Materialien bekannten Ergebnisse werden unter gewissen Randbedingungen aus den allgemeinen Formulierungen erhalten.

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The DRs in Low Dimensional HD Systems in the Presence of Magnetic Field

Ghatak¹

2015

Springer Tracts in Modern Physics

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On the effective electron mass in quantum well wires of ternary chalcopyrite semiconductors

Cited by 15 publications

References 21 publications

A simple analysis of the subband energies in quantum-confined non-parabolic semiconductors in the presence of a parallel magnetic field

A simple analysis of the subband energies in quantum-confined non-parabolic semiconductors in the presence of a parallel magnetic field

Influence of a Quantizing Magnetic Field on the Effective Electron Mass in HgTe/CdTe Superlattices with Graded Structures

The DRs in Low Dimensional HD Systems in the Presence of Magnetic Field

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